Gravitational instability (Chapters 6 and 7) 417Sakharov, A.Soviet Physics JETP, 49 (1965), 345. It is found that the spectrum of adiabatic
perturbations is ultimately modulated by a periodic function.
CMB fluctuations (Chapter 9)
Sachs, R., Wolfe, A. Perturbation of a cosmological model and angular variations of the
microwave background.Astrophysical Journal, 147 (1967), 73. The influence of the
gravitational potential on the temperature fluctuations is calculated.
Silk, J. Cosmic black-body radiation and galaxy formation.Astrophysical Journal, 151
(1968), 459. The radiative dissipation of the fluctuations on small scales is found.
The initial conditions for the temperature fluctuations on the last scattering surface (at
recombination) are discussed.
Sunyaev, R., Zel’dovich, Ya. Small-scale fluctuations of relic radiation.Astrophysics and
Space Science, 7 (1970), 3. The fluctuations of background radiation temperature are
calculated in a baryon–radiation universe. It is pointed out that“... a distinct peri-
odic dependence of the spectral density of perturbations on wavelength is peculiar
to adiabatic perturbations.”The approximate formula describing nonequilibrium re-
combination (see (3.202) is derived.
Peebles, P.J.E., Yu, J. Primeval adiabatic perturbations in an expanding universe.Astrophys-
ical Journal, 162 (1970), 815. The CMB fluctuation spectrum in a baryon–radiation
universe is calculated.
Bond, J. R., Efstathiou, G. The statistic of cosmic background radiation fluctuations.
Monthly Notices of the Royal Astronomical Society, 226 (1987), 655. The modern
unified treatment of the CMB fluctuations on all angular scales in cold dark matter
models.
Seljak, U., Zaldarriaga, M. A line of sight integration approach to cosmic microwave back-
ground anisotropies.Astrophysical Journal, 469 (1996), 437. A method of integration
of equations for CMB fluctuations is proposed and used to write the CMB-FAST
computer code, which is widely used at present.